An Inverse Problem Associated With Modification of Incomplete Dynamic Systems

[+] Author and Article Information
Y. M. Ram, S. G. Braun

Department of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel

J. Appl. Mech 58(1), 233-237 (Mar 01, 1991) (5 pages) doi:10.1115/1.2897156 History: Received November 16, 1989; Revised May 16, 1990; Online March 31, 2008


Given an incomplete set of natural frequencies and modes of a linear structure from a vibration test, the problem of computing the necessary changes in the structure to reach a desired spectra is considered. A criterion of optimality which gives the best approximation from a certain subspace is formulated. Then formulae for evaluating the family of all mathematical solutions are given, resulting in a class of mathematical incremental mass and stiffness matrices. Finally, we describe the problem of the realization of the mathematical solutions by constructing a model of a given type.

Copyright © 1991 by The American Society of Mechanical Engineers
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